Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 52086 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.699 | 0.8728 | 0.8008 | [M:[0.9679, 0.9679, 1.1254, 0.6881, 0.7813, 0.8746], q:[0.5948, 0.4373], qb:[0.4373, 0.7813], phi:[0.4373]] | [M:[[-9], [-9], [4], [6], [1], [-4]], q:[[11], [-2]], qb:[[-2], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | -2 | t^2.064 + t^2.344 + 2*t^2.624 + 2*t^2.904 + t^3.656 + 2*t^3.936 + 2*t^4.128 + 3*t^4.408 + 3*t^4.688 + t^4.881 + 4*t^4.968 + 5*t^5.248 + 2*t^5.528 + t^5.72 + 3*t^5.808 - 2*t^6. + 2*t^6.192 + 2*t^6.28 + 2*t^6.472 + 5*t^6.56 + 5*t^6.752 + 2*t^6.84 + t^6.945 + 7*t^7.032 + t^7.225 + 5*t^7.312 + t^7.504 + 7*t^7.592 + 11*t^7.872 - 2*t^8.064 + 5*t^8.152 + 2*t^8.257 - 2*t^8.344 + 3*t^8.431 + 3*t^8.537 - 3*t^8.624 + 4*t^8.711 + 5*t^8.816 - 2*t^8.904 - t^4.312/y - t^6.376/y - t^6.656/y - t^6.936/y - (2*t^7.216)/y + (3*t^7.408)/y + (3*t^7.688)/y + (5*t^7.968)/y + (4*t^8.248)/y - t^8.44/y + (4*t^8.528)/y + t^8.808/y - t^4.312*y - t^6.376*y - t^6.656*y - t^6.936*y - 2*t^7.216*y + 3*t^7.408*y + 3*t^7.688*y + 5*t^7.968*y + 4*t^8.248*y - t^8.44*y + 4*t^8.528*y + t^8.808*y | g1^6*t^2.064 + g1*t^2.344 + (2*t^2.624)/g1^4 + (2*t^2.904)/g1^9 + t^3.656/g1 + (2*t^3.936)/g1^6 + 2*g1^12*t^4.128 + 3*g1^7*t^4.408 + 3*g1^2*t^4.688 + g1^20*t^4.881 + (4*t^4.968)/g1^3 + (5*t^5.248)/g1^8 + (2*t^5.528)/g1^13 + g1^5*t^5.72 + (3*t^5.808)/g1^18 - 2*t^6. + 2*g1^18*t^6.192 + (2*t^6.28)/g1^5 + 2*g1^13*t^6.472 + (5*t^6.56)/g1^10 + 5*g1^8*t^6.752 + (2*t^6.84)/g1^15 + g1^26*t^6.945 + 7*g1^3*t^7.032 + g1^21*t^7.225 + (5*t^7.312)/g1^2 + g1^16*t^7.504 + (7*t^7.592)/g1^7 + (11*t^7.872)/g1^12 - 2*g1^6*t^8.064 + (5*t^8.152)/g1^17 + 2*g1^24*t^8.257 - 2*g1*t^8.344 + (3*t^8.431)/g1^22 + 3*g1^19*t^8.537 - (3*t^8.624)/g1^4 + (4*t^8.711)/g1^27 + 5*g1^14*t^8.816 - (2*t^8.904)/g1^9 - t^4.312/(g1^2*y) - (g1^4*t^6.376)/y - t^6.656/(g1*y) - t^6.936/(g1^6*y) - (2*t^7.216)/(g1^11*y) + (3*g1^7*t^7.408)/y + (3*g1^2*t^7.688)/y + (5*t^7.968)/(g1^3*y) + (4*t^8.248)/(g1^8*y) - (g1^10*t^8.44)/y + (4*t^8.528)/(g1^13*y) + t^8.808/(g1^18*y) - (t^4.312*y)/g1^2 - g1^4*t^6.376*y - (t^6.656*y)/g1 - (t^6.936*y)/g1^6 - (2*t^7.216*y)/g1^11 + 3*g1^7*t^7.408*y + 3*g1^2*t^7.688*y + (5*t^7.968*y)/g1^3 + (4*t^8.248*y)/g1^8 - g1^10*t^8.44*y + (4*t^8.528*y)/g1^13 + (t^8.808*y)/g1^18 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 56365 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}X_{1}$ | 0.6767 | 0.8295 | 0.8158 | [X:[1.3345], M:[1.0018, 1.0018, 1.1103, 0.6655, 0.7776, 0.8897, 0.9982], q:[0.5534, 0.4448], qb:[0.4448, 0.7776], phi:[0.4448]] | t^2.333 + 2*t^2.669 + t^2.995 + t^3.005 + t^3.667 + t^3.993 + 3*t^4.004 + 2*t^4.329 + t^4.655 + t^4.665 + 2*t^5.002 + t^5.327 + 4*t^5.338 + 2*t^5.664 + t^5.989 - 3*t^6. - t^4.335/y - t^4.335*y | detail | |
| 56363 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6783 | 0.8327 | 0.8145 | [M:[0.9648, 0.9648, 1.1268, 0.6901, 0.7817, 0.8732, 1.3099], q:[0.5986, 0.4366], qb:[0.4366, 0.7817], phi:[0.4366]] | t^2.345 + 2*t^2.62 + 2*t^2.894 + t^3.655 + 3*t^3.93 + t^4.141 + 2*t^4.415 + t^4.69 + t^4.901 + 2*t^4.965 + 5*t^5.239 + 2*t^5.514 + 3*t^5.789 - 4*t^6. - t^4.31/y - t^4.31*y | detail | |
| 56366 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7197 | 0.9131 | 0.7882 | [M:[0.9705, 0.9705, 1.1242, 0.6863, 0.7811, 0.8758, 0.6863], q:[0.5916, 0.4379], qb:[0.4379, 0.7811], phi:[0.4379]] | 2*t^2.059 + t^2.343 + 2*t^2.627 + 2*t^2.912 + t^3.657 + t^3.941 + 4*t^4.118 + 4*t^4.402 + 5*t^4.686 + t^4.863 + 6*t^4.971 + 5*t^5.255 + 2*t^5.539 + 2*t^5.716 + 3*t^5.823 - 2*t^6. - t^4.314/y - t^4.314*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 47095 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.688 | 0.8543 | 0.8054 | [M:[0.9811, 0.9811, 1.1195, 0.6792, 0.7799], q:[0.5786, 0.4403], qb:[0.4403, 0.7799], phi:[0.4403]] | t^2.038 + t^2.34 + t^2.642 + 2*t^2.943 + t^3.358 + t^3.66 + 2*t^3.962 + 2*t^4.075 + 3*t^4.377 + 2*t^4.679 + t^4.792 + 3*t^4.981 + 3*t^5.283 + t^5.396 + 2*t^5.698 + 3*t^5.887 - t^6. - t^4.321/y - t^4.321*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 52/53, M3: 178/159, M4: 36/53, M5: 124/159, q1: 92/159, q2: 70/159, qb1: 70/159, qb2: 124/159, phi1: 70/159} |